// @(#)root/hist:$Name: $:$Id: TProfile2D.cxx,v 1.16 2003/02/25 14:17:03 brun Exp $
// Author: Rene Brun 16/04/2000
/*************************************************************************
* Copyright (C) 1995-2000, Rene Brun and Fons Rademakers. *
* All rights reserved. *
* *
* For the licensing terms see $ROOTSYS/LICENSE. *
* For the list of contributors see $ROOTSYS/README/CREDITS. *
*************************************************************************/
#include "TProfile2D.h"
#include "TMath.h"
#include "THLimitsFinder.h"
ClassImp(TProfile2D)
//______________________________________________________________________________
//
// Profile2D histograms are used to display the mean
// value of Z and its RMS for each cell in X,Y.
// Profile2D histograms are in many cases an
// elegant replacement of three-dimensional histograms : the inter-relation of three
// measured quantities X, Y and Z can always be visualized by a three-dimensional
// histogram or scatter-plot; its representation on the line-printer is not particularly
// satisfactory, except for sparse data. If Z is an unknown (but single-valued)
// approximate function of X,Y this function is displayed by a profile2D histogram with
// much better precision than by a scatter-plot.
//
// The following formulae show the cumulated contents (capital letters) and the values
// displayed by the printing or plotting routines (small letters) of the elements for cell I, J.
//
// 2
// H(I,J) = sum Z E(I,J) = sum Z
// l(I,J) = sum l L(I,J) = sum l
// h(I,J) = H(I,J)/L(I,J) s(I,J) = sqrt(E(I,J)/L(I,J)- h(I,J)**2)
// e(I,J) = s(I,J)/sqrt(L(I,J))
//
// In the special case where s(I,J) is zero (eg, case of 1 entry only in one cell)
// e(I,J) is computed from the average of the s(I,J) for all cells.
// This simple/crude approximation was suggested in order to keep the cell
// during a fit operation.
//
// Example of a profile2D histogram
//{
// TCanvas *c1 = new TCanvas("c1","Profile histogram example",200,10,700,500);
// hprof2d = new TProfile2D("hprof2d","Profile of pz versus px and py",40,-4,4,40,-4,4,0,20);
// Float_t px, py, pz;
// for ( Int_t i=0; i<25000; i++) {
// gRandom->Rannor(px,py);
// pz = px*px + py*py;
// hprof2d->Fill(px,py,pz,1);
// }
// hprof2d->Draw();
//}
//
//______________________________________________________________________________
TProfile2D::TProfile2D() : TH2D()
{
//*-*-*-*-*-*Default constructor for Profile2D histograms*-*-*-*-*-*-*-*-*
//*-* ============================================
}
//______________________________________________________________________________
TProfile2D::~TProfile2D()
{
//*-*-*-*-*-*Default destructor for Profile2D histograms*-*-*-*-*-*-*-*-*
//*-* ===========================================
}
//______________________________________________________________________________
TProfile2D::TProfile2D(const char *name,const char *title,Int_t nx,Axis_t xlow,Axis_t xup,Int_t ny,Axis_t ylow,Axis_t yup,Option_t *option)
: TH2D(name,title,nx,xlow,xup,ny,ylow,yup)
{
//*-*-*-*-*-*Normal Constructor for Profile histograms*-*-*-*-*-*-*-*-*-*
//*-* ==========================================
//
// The first eight parameters are similar to TH2D::TH2D.
// All values of z are accepted at filling time.
// To fill a profile2D histogram, one must use TProfile2D::Fill function.
//
// Note that when filling the profile histogram the function Fill
// checks if the variable z is betyween fZmin and fZmax.
// If a minimum or maximum value is set for the Z scale before filling,
// then all values below zmin or above zmax will be discarded.
// Setting the minimum or maximum value for the Z scale before filling
// has the same effect as calling the special TProfile2D constructor below
// where zmin and zmax are specified.
//
// H(I,J) is printed as the cell contents. The errors computed are s(I,J) if CHOPT='S'
// (spread option), or e(I,J) if CHOPT=' ' (error on mean).
//
// See TProfile2D::BuildOptions for explanation of parameters
//
BuildOptions(0,0,option);
}
//______________________________________________________________________________
TProfile2D::TProfile2D(const char *name,const char *title,Int_t nx,Axis_t xlow,Axis_t xup,Int_t ny, Axis_t ylow,Axis_t yup,Axis_t zlow,Axis_t zup,Option_t *option)
: TH2D(name,title,nx,xlow,xup,ny,ylow,yup)
{
//*-*-*-*-*-*Constructor for Profile2D histograms with range in z*-*-*-*-*-*
//*-* ====================================================
// The first eight parameters are similar to TH2D::TH2D.
// Only the values of Z between ZMIN and ZMAX will be considered at filling time.
// zmin and zmax will also be the maximum and minimum values
// on the z scale when drawing the profile2D.
//
// See TProfile2D::BuildOptions for more explanations on errors
//
BuildOptions(zlow,zup,option);
}
//______________________________________________________________________________
void TProfile2D::BuildOptions(Double_t zmin, Double_t zmax, Option_t *option)
{
//*-*-*-*-*-*-*Set Profile2D histogram structure and options*-*-*-*-*-*-*-*-*
//*-* =============================================
//
// If a cell has N data points all with the same value Z (especially
// possible when dealing with integers), the spread in Z for that cell
// is zero, and the uncertainty assigned is also zero, and the cell is
// ignored in making subsequent fits. If SQRT(Z) was the correct error
// in the case above, then SQRT(Z)/SQRT(N) would be the correct error here.
// In fact, any cell with non-zero number of entries N but with zero spread
// should have an uncertainty SQRT(Z)/SQRT(N).
//
// Now, is SQRT(Z)/SQRT(N) really the correct uncertainty?
// that it is only in the case where the Z variable is some sort
// of counting statistics, following a Poisson distribution. This should
// probably be set as the default case. However, Z can be any variable
// from an original NTUPLE, not necessarily distributed "Poissonly".
// The computation of errors is based on the parameter option:
// option:
// ' ' (Default) Errors are Spread/SQRT(N) for Spread.ne.0. ,
// " " SQRT(Z)/SQRT(N) for Spread.eq.0,N.gt.0 ,
// " " 0. for N.eq.0
// 's' Errors are Spread for Spread.ne.0. ,
// " " SQRT(Z) for Spread.eq.0,N.gt.0 ,
// " " 0. for N.eq.0
// 'i' Errors are Spread/SQRT(N) for Spread.ne.0. ,
// " " 1./SQRT(12.*N) for Spread.eq.0,N.gt.0 ,
// " " 0. for N.eq.0
//
// The third case above corresponds to Integer Z values for which the
// uncertainty is +-0.5, with the assumption that the probability that Z
// takes any value between Z-0.5 and Z+0.5 is uniform (the same argument
// goes for Z uniformly distributed between Z and Z+1); this would be
// useful if Z is an ADC measurement, for example. Other, fancier options
// would be possible, at the cost of adding one more parameter to the PROFILE2D
// For example, if all Z variables are distributed according to some
// known Gaussian of standard deviation Sigma, then:
// 'G' Errors are Spread/SQRT(N) for Spread.ne.0. ,
// " " Sigma/SQRT(N) for Spread.eq.0,N.gt.0 ,
// " " 0. for N.eq.0
// For example, this would be useful when all Z's are experimental quantities
// measured with the same instrument with precision Sigma.
//
//
SetErrorOption(option);
fBinEntries.Set(fNcells); //*-* create number of entries per cell array
Sumw2(); //*-* create sum of squares of weights array
fZmin = zmin;
fZmax = zmax;
}
//______________________________________________________________________________
TProfile2D::TProfile2D(const TProfile2D &profile) : TH2D()
{
((TProfile2D&)profile).Copy(*this);
}
//______________________________________________________________________________
void TProfile2D::Add(TF1 *, Double_t )
{
// Performs the operation: this = this + c1*f1
Error("Add","Function not implemented for TProfile2D");
return;
}
//______________________________________________________________________________
void TProfile2D::Add(const TH1 *h1, Double_t c1)
{
// Performs the operation: this = this + c1*h1
if (!h1) {
Error("Add","Attempt to add a non-existing profile");
return;
}
if (!h1->InheritsFrom("TProfile2D")) {
Error("Add","Attempt to add a non-profile2D object");
return;
}
TProfile2D *p1 = (TProfile2D*)h1;
//*-*- Check profile compatibility
Int_t nx = GetNbinsX();
if (nx != p1->GetNbinsX()) {
Error("Add","Attempt to add profiles with different number of bins");
return;
}
Int_t ny = GetNbinsY();
if (ny != p1->GetNbinsY()) {
Error("Add","Attempt to add profiles with different number of bins");
return;
}
//*-*- Add statistics
Double_t ac1 = TMath::Abs(c1);
fEntries += ac1*p1->GetEntries();
fTsumw += ac1*p1->fTsumw;
fTsumw2 += ac1*p1->fTsumw2;
fTsumwx += ac1*p1->fTsumwx;
fTsumwx2 += ac1*p1->fTsumwx2;
//*-*- Loop on bins (including underflows/overflows)
Int_t bin,binx,biny;
Double_t *cu1 = p1->GetW();
Double_t *er1 = p1->GetW2();
Double_t *en1 = p1->GetB();
for (binx =0;binx<=nx+1;binx++) {
for (biny =0;biny<=ny+1;biny++) {
bin = biny*(fXaxis.GetNbins()+2) + binx;
fArray[bin] += c1*cu1[bin];
fSumw2.fArray[bin] += ac1*er1[bin];
fBinEntries.fArray[bin] += ac1*en1[bin];
}
}
}
//______________________________________________________________________________
void TProfile2D::Add(const TH1 *h1, const TH1 *h2, Double_t c1, Double_t c2)
{
//*-*-*-*-*Replace contents of this profile2D by the addition of h1 and h2*-*-*
//*-* ===============================================================
//
// this = c1*h1 + c2*h2
//
if (!h1 || !h2) {
Error("Add","Attempt to add a non-existing profile");
return;
}
if (!h1->InheritsFrom("TProfile2D")) {
Error("Add","Attempt to add a non-profile2D object");
return;
}
TProfile2D *p1 = (TProfile2D*)h1;
if (!h2->InheritsFrom("TProfile2D")) {
Error("Add","Attempt to add a non-profile2D object");
return;
}
TProfile2D *p2 = (TProfile2D*)h2;
//*-*- Check profile compatibility
Int_t nx = GetNbinsX();
if (nx != p1->GetNbinsX() || nx != p2->GetNbinsX()) {
Error("Add","Attempt to add profiles with different number of bins");
return;
}
Int_t ny = GetNbinsY();
if (ny != p1->GetNbinsY() || ny != p2->GetNbinsY()) {
Error("Add","Attempt to add profiles with different number of bins");
return;
}
//*-*- Add statistics
Double_t ac1 = TMath::Abs(c1);
Double_t ac2 = TMath::Abs(c2);
fEntries = ac1*p1->GetEntries() + ac2*p2->GetEntries();
fTsumw = ac1*p1->fTsumw + ac2*p2->fTsumw;
fTsumw2 = ac1*p1->fTsumw2 + ac2*p2->fTsumw2;
fTsumwx = ac1*p1->fTsumwx + ac2*p2->fTsumwx;
fTsumwx2 = ac1*p1->fTsumwx2 + ac2*p2->fTsumwx2;
//*-*- Loop on bins (including underflows/overflows)
Int_t bin,binx,biny;
Double_t *cu1 = p1->GetW();
Double_t *cu2 = p2->GetW();
Double_t *er1 = p1->GetW2();
Double_t *er2 = p2->GetW2();
Double_t *en1 = p1->GetB();
Double_t *en2 = p2->GetB();
for (binx =0;binx<=nx+1;binx++) {
for (biny =0;biny<=ny+1;biny++) {
bin = biny*(fXaxis.GetNbins()+2) + binx;
fArray[bin] = c1*cu1[bin] + c2*cu2[bin];
fSumw2.fArray[bin] = ac1*er1[bin] + ac2*er2[bin];
fBinEntries.fArray[bin] = ac1*en1[bin] + ac2*en2[bin];
}
}
}
//______________________________________________________________________________
Int_t TProfile2D::BufferEmpty(Bool_t deleteBuffer)
{
// Fill histogram with all entries in the buffer.
// The buffer is deleted if deleteBuffer is true.
// do we need to compute the bin size?
Int_t nbentries = (Int_t)fBuffer[0];
if (!nbentries) return 0;
if (fXaxis.GetXmax() <= fXaxis.GetXmin()) {
//find min, max of entries in buffer
Double_t xmin = fBuffer[2];
Double_t xmax = xmin;
Double_t ymin = fBuffer[3];
Double_t ymax = ymin;
for (Int_t i=1;i<nbentries;i++) {
Double_t x = fBuffer[4*i+2];
if (x < xmin) xmin = x;
if (x > xmax) xmax = x;
Double_t y = fBuffer[4*i+3];
if (y < ymin) ymin = y;
if (y > ymax) ymax = y;
}
THLimitsFinder::GetLimitsFinder()->FindGoodLimits(this,xmin,xmax,ymin,ymax);
}
Double_t *buffer = fBuffer; fBuffer = 0;
for (Int_t i=0;i<nbentries;i++) {
Fill(buffer[4*i+2],buffer[4*i+3],buffer[4*i+4],buffer[4*i+1]);
}
if (deleteBuffer) { delete buffer; fBufferSize = 0;}
else { fBuffer = buffer; fBuffer[0] = 0;}
return nbentries;
}
//______________________________________________________________________________
Int_t TProfile2D::BufferFill(Axis_t x, Axis_t y, Axis_t z, Stat_t w)
{
// accumulate arguments in buffer. When buffer is full, empty the buffer
// fBuffer[0] = number of entries in buffer
// fBuffer[1] = w of first entry
// fBuffer[2] = x of first entry
Int_t nbentries = (Int_t)fBuffer[0];
if (nbentries >= fBufferSize) {
BufferEmpty(kTRUE);
return Fill(x,y,z,w);
}
fBuffer[4*nbentries+1] = w;
fBuffer[4*nbentries+2] = x;
fBuffer[4*nbentries+3] = y;
fBuffer[4*nbentries+4] = z;
fBuffer[0] += 1;
return -2;
}
//______________________________________________________________________________
void TProfile2D::Copy(TObject &obj) const
{
//*-*-*-*-*-*-*-*Copy a Profile2D histogram to a new profile2D histogram*-*-*-*
//*-* =======================================================
TH2D::Copy(((TProfile2D&)obj));
fBinEntries.Copy(((TProfile2D&)obj).fBinEntries);
((TProfile2D&)obj).fZmin = fZmin;
((TProfile2D&)obj).fZmax = fZmax;
((TProfile2D&)obj).fErrorMode = fErrorMode;
}
//______________________________________________________________________________
void TProfile2D::Divide(TF1 *, Double_t )
{
// Performs the operation: this = this/(c1*f1)
Error("Divide","Function not implemented for TProfile2D");
return;
}
//______________________________________________________________________________
void TProfile2D::Divide(const TH1 *h1)
{
//*-*-*-*-*-*-*-*-*-*-*Divide this profile2D by h1*-*-*-*-*-*-*-*-*-*-*-*-*
//*-* ===========================
//
// this = this/h1
//
if (!h1) {
Error("Divide","Attempt to divide a non-existing profile2D");
return;
}
if (!h1->InheritsFrom("TProfile2D")) {
Error("Divide","Attempt to divide a non-profile2D object");
return;
}
TProfile2D *p1 = (TProfile2D*)h1;
//*-*- Check profile compatibility
Int_t nx = GetNbinsX();
if (nx != p1->GetNbinsX()) {
Error("Divide","Attempt to divide profiles with different number of bins");
return;
}
Int_t ny = GetNbinsY();
if (ny != p1->GetNbinsY()) {
Error("Divide","Attempt to divide profiles with different number of bins");
return;
}
//*-*- Reset statistics
fEntries = fTsumw = fTsumw2 = fTsumwx = fTsumwx2 = 0;
//*-*- Loop on bins (including underflows/overflows)
Int_t bin,binx,biny;
Double_t *cu1 = p1->GetW();
Double_t *er1 = p1->GetW2();
Double_t *en1 = p1->GetB();
Double_t c0,c1,w,z,x;
for (binx =0;binx<=nx+1;binx++) {
for (biny =0;biny<=ny+1;biny++) {
bin = biny*(fXaxis.GetNbins()+2) + binx;
c0 = fArray[bin];
c1 = cu1[bin];
if (c1) w = c0/c1;
else w = 0;
fArray[bin] = w;
z = TMath::Abs(w);
x = fXaxis.GetBinCenter(bin);
fEntries++;
fTsumw += z;
fTsumw2 += z*z;
fTsumwx += z*x;
fTsumwx2 += z*x*x;
Double_t e0 = fSumw2.fArray[bin];
Double_t e1 = er1[bin];
Double_t c12= c1*c1;
if (!c1) fSumw2.fArray[bin] = 0;
else fSumw2.fArray[bin] = (e0*e0*c1*c1 + e1*e1*c0*c0)/(c12*c12);
if (!en1[bin]) fBinEntries.fArray[bin] = 0;
else fBinEntries.fArray[bin] /= en1[bin];
}
}
}
//______________________________________________________________________________
void TProfile2D::Divide(const TH1 *h1, const TH1 *h2, Double_t c1, Double_t c2, Option_t *option)
{
//*-*-*-*-*Replace contents of this profile2D by the division of h1 by h2*-*-*
//*-* ==============================================================
//
// this = c1*h1/(c2*h2)
//
TString opt = option;
opt.ToLower();
Bool_t binomial = kFALSE;
if (opt.Contains("b")) binomial = kTRUE;
if (!h1 || !h2) {
Error("Divide","Attempt to divide a non-existing profile2D");
return;
}
if (!h1->InheritsFrom("TProfile2D")) {
Error("Divide","Attempt to divide a non-profile2D object");
return;
}
TProfile2D *p1 = (TProfile2D*)h1;
if (!h2->InheritsFrom("TProfile2D")) {
Error("Divide","Attempt to divide a non-profile2D object");
return;
}
TProfile2D *p2 = (TProfile2D*)h2;
//*-*- Check histogram compatibility
Int_t nx = GetNbinsX();
if (nx != p1->GetNbinsX() || nx != p2->GetNbinsX()) {
Error("Divide","Attempt to divide profiles with different number of bins");
return;
}
Int_t ny = GetNbinsY();
if (ny != p1->GetNbinsY() || ny != p2->GetNbinsY()) {
Error("Divide","Attempt to divide profiles with different number of bins");
return;
}
if (!c2) {
Error("Divide","Coefficient of dividing profile cannot be zero");
return;
}
//*-*- Reset statistics
fEntries = fTsumw = fTsumw2 = fTsumwx = fTsumwx2 = 0;
//*-*- Loop on bins (including underflows/overflows)
Int_t bin,binx,biny;
Double_t *cu1 = p1->GetW();
Double_t *cu2 = p2->GetW();
Double_t *er1 = p1->GetW2();
Double_t *er2 = p2->GetW2();
Double_t *en1 = p1->GetB();
Double_t *en2 = p2->GetB();
Double_t b1,b2,w,z,x,d1,d2;
d1 = c1*c1;
d2 = c2*c2;
for (binx =0;binx<=nx+1;binx++) {
for (biny =0;biny<=ny+1;biny++) {
bin = biny*(fXaxis.GetNbins()+2) + binx;
b1 = cu1[bin];
b2 = cu2[bin];
if (b2) w = c1*b1/(c2*b2);
else w = 0;
fArray[bin] = w;
z = TMath::Abs(w);
x = fXaxis.GetBinCenter(bin);
fEntries++;
fTsumw += z;
fTsumw2 += z*z;
fTsumwx += z*x;
fTsumwx2 += z*x*x;
Double_t e1 = er1[bin];
Double_t e2 = er2[bin];
Double_t b22= b2*b2*d2;
if (!b2) fSumw2.fArray[bin] = 0;
else {
if (binomial) {
fSumw2.fArray[bin] = TMath::Abs(w*(1-w)/(c2*b2));
} else {
fSumw2.fArray[bin] = d1*d2*(e1*e1*b2*b2 + e2*e2*b1*b1)/(b22*b22);
}
}
if (!en2[bin]) fBinEntries.fArray[bin] = 0;
else fBinEntries.fArray[bin] = en1[bin]/en2[bin];
}
}
}
//______________________________________________________________________________
TH1 *TProfile2D::DrawCopy(Option_t *option) const
{
//*-*-*-*-*-*-*-*Draw a copy of this profile2D histogram*-*-*-*-*-*-*-*-*-*-*
//*-* =======================================
TProfile2D *newpf = new TProfile2D();
Copy(*newpf);
newpf->SetDirectory(0);
newpf->SetBit(kCanDelete);
newpf->AppendPad(option);
return newpf;
}
//______________________________________________________________________________
Int_t TProfile2D::Fill(Axis_t x, Axis_t y, Axis_t z)
{
//*-*-*-*-*-*-*-*-*-*-*Fill a Profile2D histogram (no weights)*-*-*-*-*-*-*-*
//*-* =======================================
if (fBuffer) return BufferFill(x,y,z,1);
Int_t bin,binx,biny;
if (fZmin != fZmax) {
if (z <fZmin || z> fZmax) return -1;
}
fEntries++;
binx =fXaxis.FindBin(x);
biny =fYaxis.FindBin(y);
bin = biny*(fXaxis.GetNbins()+2) + binx;
AddBinContent(bin, z);
fSumw2.fArray[bin] += (Stat_t)z*z;
fBinEntries.fArray[bin] += 1;
if (binx == 0 || binx > fXaxis.GetNbins()) return -1;
if (biny == 0 || biny > fYaxis.GetNbins()) return -1;
++fTsumw;
++fTsumw2;
fTsumwx += x;
fTsumwx2 += x*x;
fTsumwy += y;
fTsumwy2 += y*y;
fTsumwxy += x*y;
return bin;
}
//______________________________________________________________________________
Int_t TProfile2D::Fill(Axis_t x, const char *namey, Axis_t z)
{
// Fill a Profile2D histogram (no weights)
//
Int_t bin,binx,biny;
if (fZmin != fZmax) {
if (z <fZmin || z> fZmax) return -1;
}
fEntries++;
binx =fXaxis.FindBin(x);
biny =fYaxis.FindBin(namey);
bin = biny*(fXaxis.GetNbins()+2) + binx;
AddBinContent(bin, z);
fSumw2.fArray[bin] += (Stat_t)z*z;
fBinEntries.fArray[bin] += 1;
if (binx == 0 || binx > fXaxis.GetNbins()) return -1;
if (biny == 0 || biny > fYaxis.GetNbins()) return -1;
Axis_t y = fYaxis.GetBinCenter(biny);
++fTsumw;
++fTsumw2;
fTsumwx += x;
fTsumwx2 += x*x;
fTsumwy += y;
fTsumwy2 += y*y;
fTsumwxy += x*y;
return bin;
}
//______________________________________________________________________________
Int_t TProfile2D::Fill(const char *namex, const char *namey, Axis_t z)
{
// Fill a Profile2D histogram (no weights)
//
Int_t bin,binx,biny;
if (fZmin != fZmax) {
if (z <fZmin || z> fZmax) return -1;
}
fEntries++;
binx =fXaxis.FindBin(namex);
biny =fYaxis.FindBin(namey);
bin = biny*(fXaxis.GetNbins()+2) + binx;
AddBinContent(bin, z);
fSumw2.fArray[bin] += (Stat_t)z*z;
fBinEntries.fArray[bin] += 1;
if (binx == 0 || binx > fXaxis.GetNbins()) return -1;
if (biny == 0 || biny > fYaxis.GetNbins()) return -1;
Axis_t x = fYaxis.GetBinCenter(binx);
Axis_t y = fYaxis.GetBinCenter(biny);
++fTsumw;
++fTsumw2;
fTsumwx += x;
fTsumwx2 += x*x;
fTsumwy += y;
fTsumwy2 += y*y;
fTsumwxy += x*y;
return bin;
}
//______________________________________________________________________________
Int_t TProfile2D::Fill(const char *namex, Axis_t y, Axis_t z)
{
// Fill a Profile2D histogram (no weights)
//
Int_t bin,binx,biny;
if (fZmin != fZmax) {
if (z <fZmin || z> fZmax) return -1;
}
fEntries++;
binx =fXaxis.FindBin(namex);
biny =fYaxis.FindBin(y);
bin = biny*(fXaxis.GetNbins()+2) + binx;
AddBinContent(bin, z);
fSumw2.fArray[bin] += (Stat_t)z*z;
fBinEntries.fArray[bin] += 1;
if (binx == 0 || binx > fXaxis.GetNbins()) return -1;
if (biny == 0 || biny > fYaxis.GetNbins()) return -1;
Axis_t x = fYaxis.GetBinCenter(binx);
++fTsumw;
++fTsumw2;
fTsumwx += x;
fTsumwx2 += x*x;
fTsumwy += y;
fTsumwy2 += y*y;
fTsumwxy += x*y;
return bin;
}
//______________________________________________________________________________
Int_t TProfile2D::Fill(Axis_t x, Axis_t y, Axis_t z, Stat_t w)
{
//*-*-*-*-*-*-*-*-*-*-*Fill a Profile2D histogram with weights*-*-*-*-*-*-*-*
//*-* =======================================
if (fBuffer) return BufferFill(x,y,z,w);
Int_t bin,binx,biny;
if (fZmin != fZmax) {
if (z <fZmin || z> fZmax) return -1;
}
Stat_t u= (w > 0 ? w : -w);
fEntries++;
binx =fXaxis.FindBin(x);
biny =fYaxis.FindBin(y);
bin = biny*(fXaxis.GetNbins()+2) + binx;
AddBinContent(bin, u*z);
fSumw2.fArray[bin] += u*z*z;
fBinEntries.fArray[bin] += w;
if (binx == 0 || binx > fXaxis.GetNbins()) return -1;
if (biny == 0 || biny > fYaxis.GetNbins()) return -1;
fTsumw += u;
fTsumw2 += u*u;
fTsumwx += u*x;
fTsumwx2 += u*x*x;
fTsumwy += u*y;
fTsumwy2 += u*y*y;
fTsumwxy += u*x*y;
return bin;
}
//______________________________________________________________________________
Stat_t TProfile2D::GetBinContent(Int_t bin) const
{
//*-*-*-*-*-*-*Return bin content of a Profile2D histogram*-*-*-*-*-*-*-*-*
//*-* ===========================================
if (fBuffer) ((TProfile2D*)this)->BufferEmpty();
if (bin < 0 || bin >= fNcells) return 0;
if (fBinEntries.fArray[bin] == 0) return 0;
if (!fArray) return 0;
return fArray[bin]/fBinEntries.fArray[bin];
}
//______________________________________________________________________________
Stat_t TProfile2D::GetBinEntries(Int_t bin) const
{
//*-*-*-*-*-*-*Return bin entries of a Profile2D histogram*-*-*-*-*-*-*-*-*
//*-* ===========================================
if (fBuffer) ((TProfile2D*)this)->BufferEmpty();
if (bin < 0 || bin >= fNcells) return 0;
return fBinEntries.fArray[bin];
}
//______________________________________________________________________________
Stat_t TProfile2D::GetBinError(Int_t bin) const
{
//*-*-*-*-*-*-*Return bin error of a Profile2D histogram*-*-*-*-*-*-*-*-*
//*-* =========================================
if (fBuffer) ((TProfile2D*)this)->BufferEmpty();
if (bin < 0 || bin >= fNcells) return 0;
Stat_t cont = fArray[bin];
Stat_t sum = fBinEntries.fArray[bin];
Stat_t err2 = fSumw2.fArray[bin];
if (sum == 0) return 0;
Stat_t eprim;
Stat_t contsum = cont/sum;
Stat_t eprim2 = TMath::Abs(err2/sum - contsum*contsum);
eprim = TMath::Sqrt(eprim2);
if (eprim <= 0) {
Stat_t scont, ssum, serr2;
scont = ssum = serr2 = 0;
for (Int_t i=1;i<fNcells;i++) {
scont += fArray[i];
ssum += fBinEntries.fArray[i];
serr2 += fSumw2.fArray[i];
}
Stat_t scontsum = scont/ssum;
Stat_t seprim2 = TMath::Abs(serr2/ssum - scontsum*scontsum);
eprim = TMath::Sqrt(seprim2);
}
if (fErrorMode == kERRORMEAN) return eprim/TMath::Sqrt(sum);
else if (fErrorMode == kERRORSPREAD) return eprim;
else return eprim;
}
//______________________________________________________________________________
Option_t *TProfile2D::GetErrorOption() const
{
//*-*-*-*-*-*-*-*-*-*Return option to compute profile2D errors*-*-*-*-*-*-*-*
//*-* =========================================
if (fErrorMode == kERRORSPREAD) return "s";
if (fErrorMode == kERRORSPREADI) return "i";
if (fErrorMode == kERRORSPREADG) return "g";
return "";
}
//______________________________________________________________________________
void TProfile2D::GetStats(Stat_t *stats) const
{
// fill the array stats from the contents of this profile
// The array stats must be correctly dimensionned in the calling program.
// stats[0] = sumw
// stats[1] = sumw2
// stats[2] = sumwx
// stats[3] = sumwx2
// stats[4] = sumwy
// stats[5] = sumwy2
// stats[6] = sumwxy
// stats[7] = sumwz
// stats[8] = sumwz2
//
// The function recomputes the statistics quantities
// from the bin contents in the current axis range.
// Loop on bins
Int_t bin, binx, biny;
Stat_t w;
Axis_t x,y;
for (bin=0;bin<9;bin++) stats[bin] = 0;
if (!fBinEntries.fArray) return;
for (biny=fYaxis.GetFirst();biny<=fYaxis.GetLast();biny++) {
y = fYaxis.GetBinCenter(biny);
for (binx=fXaxis.GetFirst();binx<=fXaxis.GetLast();binx++) {
bin = GetBin(binx,biny);
w = fBinEntries.fArray[bin];
x = fXaxis.GetBinCenter(binx);
stats[0] += w;
stats[1] += w*w;
stats[2] += w*x;
stats[3] += w*x*x;
stats[4] += w*y;
stats[5] += w*y*y;
stats[6] += w*x*y;
stats[7] += fArray[bin];
stats[8] += fSumw2.fArray[bin];
}
}
}
//___________________________________________________________________________
void TProfile2D::LabelsDeflate(Option_t *ax)
{
// Reduce the number of bins for this axis to the number of bins having a label.
TAxis *axis = GetXaxis();
if (ax[0] == 'y' || ax[0] == 'Y') axis = GetYaxis();
if (!axis->GetLabels()) return;
TIter next(axis->GetLabels());
TObject *obj;
Int_t nbins = 0;
while ((obj = next())) {
if (obj->GetUniqueID()) nbins++;
}
if (nbins < 2) nbins = 2;
TProfile2D *hold = (TProfile2D*)Clone();
hold->SetDirectory(0);
Int_t nbxold = fXaxis.GetNbins();
Double_t xmin = axis->GetXmin();
Double_t xmax = axis->GetBinUpEdge(nbins);
axis->SetRange(0,0);
axis->Set(nbins,xmin,xmax);
Int_t nbinsx = fXaxis.GetNbins();
Int_t nbinsy = fYaxis.GetNbins();
Int_t ncells = (nbinsx+2)*(nbinsy+2);
SetBinsLength(ncells);
fBinEntries.Set(ncells);
fSumw2.Set(ncells);
//now loop on all bins and refill
Int_t bin,ibin,binx,biny;
for (biny=1;biny<=nbinsy;biny++) {
for (binx=1;binx<=nbinsx;binx++) {
bin = biny*(nbxold+2) + binx;
ibin = biny*(nbinsx+2) + binx;
fArray[ibin] = hold->fArray[bin];
fBinEntries.fArray[ibin] = hold->fBinEntries.fArray[bin];
fSumw2.fArray[ibin] = hold->fSumw2.fArray[bin];
}
}
delete hold;
}
//___________________________________________________________________________
void TProfile2D::LabelsInflate(Option_t *ax)
{
// Double the number of bins for axis.
// Refill histogram
// This function is called by TAxis::FindBin(const char *label)
TAxis *axis = GetXaxis();
if (ax[0] == 'y' || ax[0] == 'Y') axis = GetYaxis();
TProfile2D *hold = (TProfile2D*)Clone();
hold->SetDirectory(0);
Int_t nbxold = fXaxis.GetNbins();
Int_t nbyold = fYaxis.GetNbins();
Int_t nbins = axis->GetNbins();
Double_t xmin = axis->GetXmin();
Double_t xmax = axis->GetXmax();
xmax = xmin + 2*(xmax-xmin);
axis->SetRange(0,0);
axis->Set(2*nbins,xmin,xmax);
nbins *= 2;
Int_t nbinsx = fXaxis.GetNbins();
Int_t nbinsy = fYaxis.GetNbins();
Int_t ncells = (nbinsx+2)*(nbinsy+2);
SetBinsLength(ncells);
fBinEntries.Set(ncells);
fSumw2.Set(ncells);
//now loop on all bins and refill
Int_t bin,ibin,binx,biny;
for (biny=1;biny<=nbinsy;biny++) {
for (binx=1;binx<=nbinsx;binx++) {
bin = biny*(nbxold+2) + binx;
ibin = biny*(nbinsx+2) + binx;
if (binx <= nbxold && biny <= nbyold) {
fArray[ibin] = hold->fArray[bin];
fBinEntries.fArray[ibin] = hold->fBinEntries.fArray[bin];
fSumw2.fArray[ibin] = hold->fSumw2.fArray[bin];
} else {
fArray[ibin] = 0;
fBinEntries.fArray[ibin] = 0;
fSumw2.fArray[ibin] = 0;
}
}
}
delete hold;
}
//___________________________________________________________________________
void TProfile2D::LabelsOption(Option_t *option, Option_t *ax)
{
// Set option(s) to draw axis with labels
// option = "a" sort by alphabetic order
// = ">" sort by decreasing values
// = "<" sort by increasing values
// = "h" draw labels horizonthal
// = "v" draw labels vertical
// = "u" draw labels up (end of label right adjusted)
// = "d" draw labels down (start of label left adjusted)
TAxis *axis = GetXaxis();
if (ax[0] == 'y' || ax[0] == 'Y') axis = GetYaxis();
THashList *labels = axis->GetLabels();
if (!labels) {
Warning("LabelsOption","Cannot sort. No labels");
return;
}
TString opt = option;
opt.ToLower();
if (opt.Contains("h")) {
fXaxis.SetBit(TAxis::kLabelsHori);
fXaxis.ResetBit(TAxis::kLabelsVert);
fXaxis.ResetBit(TAxis::kLabelsDown);
fXaxis.ResetBit(TAxis::kLabelsUp);
}
if (opt.Contains("v")) {
fXaxis.SetBit(TAxis::kLabelsVert);
fXaxis.ResetBit(TAxis::kLabelsHori);
fXaxis.ResetBit(TAxis::kLabelsDown);
fXaxis.ResetBit(TAxis::kLabelsUp);
}
if (opt.Contains("u")) {
fXaxis.SetBit(TAxis::kLabelsUp);
fXaxis.ResetBit(TAxis::kLabelsVert);
fXaxis.ResetBit(TAxis::kLabelsDown);
fXaxis.ResetBit(TAxis::kLabelsHori);
}
if (opt.Contains("d")) {
fXaxis.SetBit(TAxis::kLabelsDown);
fXaxis.ResetBit(TAxis::kLabelsVert);
fXaxis.ResetBit(TAxis::kLabelsHori);
fXaxis.ResetBit(TAxis::kLabelsUp);
}
Int_t sort = -1;
if (opt.Contains("a")) sort = 0;
if (opt.Contains(">")) sort = 1;
if (opt.Contains("<")) sort = 2;
if (sort < 0) return;
Int_t nx = fXaxis.GetNbins()+2;
Int_t ny = fYaxis.GetNbins()+2;
Int_t n = TMath::Min(axis->GetNbins(), labels->GetSize());
Int_t *a = new Int_t[n+2];
Int_t i,j,k,bin;
Double_t *sumw = new Double_t[nx*ny];
Double_t *errors = new Double_t[nx*ny];
Double_t *ent = new Double_t[nx*ny];
THashList *labold = new THashList(labels->GetSize(),1);
TIter nextold(labels);
TObject *obj;
while ((obj=nextold())) {
labold->Add(obj);
}
labels->Clear();
if (sort > 0) {
//---sort by values of bins
Double_t *pcont = new Double_t[n+2];
for (i=0;i<=n;i++) pcont[i] = 0;
for (i=1;i<nx;i++) {
for (j=1;j<ny;j++) {
bin = i+nx*j;
sumw[bin] = fArray[bin];
errors[bin] = fSumw2.fArray[bin];
ent[bin] = fBinEntries.fArray[bin];
if (axis == GetXaxis()) k = i;
else k = j;
if (fBinEntries.fArray[bin] != 0) pcont[k-1] += fArray[bin]/fBinEntries.fArray[bin];
}
}
if (sort ==1) TMath::Sort(n,pcont,a,kTRUE); //sort by decreasing values
else TMath::Sort(n,pcont,a,kFALSE); //sort by increasing values
delete [] pcont;
for (i=0;i<n;i++) {
obj = labold->At(a[i]);
labels->Add(obj);
obj->SetUniqueID(i+1);
}
for (i=1;i<nx;i++) {
for (j=1;j<ny;j++) {
bin = i+nx*j;
if (axis == GetXaxis()) {
fArray[bin] = sumw[a[i-1]+1+nx*j];
fSumw2.fArray[bin] = errors[a[i-1]+1+nx*j];
fBinEntries.fArray[bin] = ent[a[i-1]+1+nx*j];
} else {
fArray[bin] = sumw[i+nx*(a[j-1]+1)];
fSumw2.fArray[bin] = errors[i+nx*(a[j-1]+1)];
fBinEntries.fArray[bin] = ent[i+nx*(a[j-1]+1)];
}
}
}
} else {
//---alphabetic sort
const UInt_t kUsed = 1<<18;
TObject *objk=0;
a[0] = 0;
a[n+1] = n+1;
for (i=1;i<=n;i++) {
const char *label = "zzzzzzzzzzzz";
for (j=1;j<=n;j++) {
obj = labold->At(j-1);
if (!obj) continue;
if (obj->TestBit(kUsed)) continue;
//use strcasecmp for case non-sensitive sort (may be an option)
if (strcmp(label,obj->GetName()) < 0) continue;
objk = obj;
a[i] = j;
label = obj->GetName();
}
if (objk) {
objk->SetUniqueID(i);
labels->Add(objk);
objk->SetBit(kUsed);
}
}
for (i=1;i<=n;i++) {
obj = labels->At(i-1);
if (!obj) continue;
obj->ResetBit(kUsed);
}
for (i=0;i<nx;i++) {
for (j=0;j<ny;j++) {
bin = i+nx*j;
sumw[bin] = fArray[bin];
errors[bin] = fSumw2.fArray[bin];
ent[bin] = fBinEntries.fArray[bin];
}
}
for (i=0;i<nx;i++) {
for (j=0;j<ny;j++) {
bin = i+nx*j;
if (axis == GetXaxis()) {
fArray[bin] = sumw[a[i]+nx*j];
fSumw2.fArray[bin] = errors[a[i]+nx*j];
fBinEntries.fArray[bin] = ent[a[i]+nx*j];
} else {
fArray[bin] = sumw[i+nx*a[j]];
fSumw2.fArray[bin] = errors[i+nx*a[j]];
fBinEntries.fArray[bin] = ent[i+nx*a[j]];
}
}
}
}
delete labold;
if (a) delete [] a;
if (sumw) delete [] sumw;
if (errors) delete [] errors;
if (ent) delete [] ent;
}
//______________________________________________________________________________
Int_t TProfile2D::Merge(TCollection *list)
{
//Merge all histograms in the collection in this histogram.
//This function computes the min/max for the axes,
//compute a new number of bins, if necessary,
//add bin contents, errors and statistics.
//The function returns the merged number of entries if the merge is
//successfull, -1 otherwise.
//
//IMPORTANT remark. The 2 axis x and y may have different number
//of bins and different limits, BUT the largest bin width must be
//a multiple of the smallest bin width.
if (!list) return 0;
TIter next(list);
Double_t umin,umax,vmin,vmax;
Int_t nx,ny;
Double_t xmin = fXaxis.GetXmin();
Double_t xmax = fXaxis.GetXmax();
Double_t ymin = fYaxis.GetXmin();
Double_t ymax = fYaxis.GetXmax();
Double_t bwix = fXaxis.GetBinWidth(1);
Double_t bwiy = fYaxis.GetBinWidth(1);
Int_t nbix = fXaxis.GetNbins();
Int_t nbiy = fYaxis.GetNbins();
TProfile2D *h;
Int_t nentries=0;
Bool_t same = kTRUE;
while ((h=(TProfile2D*)next())) {
if (!h->InheritsFrom(TProfile2D::Class())) {
Error("Add","Attempt to add object of class: %s to a %s",h->ClassName(),this->ClassName());
return -1;
}
//import statistics
nentries += (Int_t)h->GetEntries();
// find min/max of the axes
umin = h->GetXaxis()->GetXmin();
umax = h->GetXaxis()->GetXmax();
vmin = h->GetYaxis()->GetXmin();
vmax = h->GetYaxis()->GetXmax();
nx = h->GetXaxis()->GetNbins();
ny = h->GetYaxis()->GetNbins();
if (nx != nbix || ny != nbiy ||
umin != xmin || umax != xmax || vmin != ymin || vmax != ymax) {
same = kFALSE;
if (umin < xmin) xmin = umin;
if (umax > xmax) xmax = umax;
if (vmin < ymin) ymin = vmin;
if (vmax > ymax) ymax = vmax;
if (h->GetXaxis()->GetBinWidth(1) > bwix) bwix = h->GetXaxis()->GetBinWidth(1);
if (h->GetYaxis()->GetBinWidth(1) > bwiy) bwiy = h->GetYaxis()->GetBinWidth(1);
}
}
// if different binning compute best binning
if (!same) {
nbix = (Int_t) ((xmax-xmin)/bwix +0.1); while(nbix > 100) nbix /= 2;
nbiy = (Int_t) ((ymax-ymin)/bwiy +0.1); while(nbiy > 100) nbiy /= 2;
SetBins(nbix,xmin,xmax,nbiy,ymin,ymax);
}
//merge bin contents and errors
next.Reset();
Int_t ibin, bin, binx, biny, ix, iy;
while ((h=(TProfile2D*)next())) {
nx = h->GetXaxis()->GetNbins();
ny = h->GetYaxis()->GetNbins();
for (biny=0;biny<=ny+1;biny++) {
iy = fYaxis.FindBin(h->GetBinCenter(biny));
for (binx=0;binx<=nx+1;binx++) {
ix = fXaxis.FindBin(h->GetBinCenter(binx));
bin = binx +(nx+2)*biny;
ibin = ix +(nbix+2)*iy;
fArray[ibin] += h->GetW()[bin];
fSumw2.fArray[ibin] += h->GetW2()[bin];
fBinEntries.fArray[ibin] += h->GetB()[bin];
}
}
fEntries += h->GetEntries();
fTsumw += h->fTsumw;
fTsumw2 += h->fTsumw2;
fTsumwx += h->fTsumwx;
fTsumwx2 += h->fTsumwx2;
}
return nentries;
}
//______________________________________________________________________________
void TProfile2D::Multiply(TF1 *, Double_t )
{
// Performs the operation: this = this*c1*f1
Error("Multiply","Function not implemented for TProfile2D");
return;
}
//______________________________________________________________________________
void TProfile2D::Multiply(const TH1 *)
{
//*-*-*-*-*-*-*-*-*-*-*Multiply this profile2D by h1*-*-*-*-*-*-*-*-*-*-*-*
//*-* =============================
//
// this = this*h1
//
Error("Multiply","Multiplication of profile2D histograms not implemented");
}
//______________________________________________________________________________
void TProfile2D::Multiply(const TH1 *, const TH1 *, Double_t, Double_t, Option_t *)
{
//*-*-*-*-*Replace contents of this profile2D by multiplication of h1 by h2*-*
//*-* ================================================================
//
// this = (c1*h1)*(c2*h2)
//
Error("Multiply","Multiplication of profile2D histograms not implemented");
}
//______________________________________________________________________________
TH2D *TProfile2D::ProjectionXY(const char *name, Option_t *option) const
{
//*-*-*-*-*Project this profile2D into a 2-D histogram along X,Y*-*-*-*-*-*-*
//*-* =====================================================
//
// The projection is always of the type TH2D.
//
// if option "E" is specified, the errors are computed. (default)
//
//
TString opt = option;
opt.ToLower();
Int_t nx = fXaxis.GetNbins();
Int_t ny = fYaxis.GetNbins();
// Create the projection histogram
char *pname = (char*)name;
if (strcmp(name,"_px") == 0) {
Int_t nch = strlen(GetName()) + 4;
pname = new char[nch];
sprintf(pname,"%s%s",GetName(),name);
}
TH2D *h1 = new TH2D(pname,GetTitle(),nx,fXaxis.GetXmin(),fXaxis.GetXmax(),ny,fYaxis.GetXmin(),fYaxis.GetXmax());
Bool_t computeErrors = kFALSE;
if (opt.Contains("e")) {h1->Sumw2(); computeErrors = kTRUE;}
if (pname != name) delete [] pname;
// Fill the projected histogram
Int_t bin, binx, biny;
Double_t cont,err;
for (binx =0;binx<=nx+1;binx++) {
for (biny =0;biny<=ny+1;biny++) {
bin = biny*(fXaxis.GetNbins()+2) + binx;
cont = GetBinContent(bin);
err = GetBinError(bin);
if (cont) h1->Fill(fXaxis.GetBinCenter(binx),fYaxis.GetBinCenter(biny), cont);
if (computeErrors) h1->SetBinError(bin,err);
}
}
h1->SetEntries(fEntries);
return h1;
}
//______________________________________________________________________________
void TProfile2D::Reset(Option_t *option)
{
//*-*-*-*-*-*-*-*-*-*Reset contents of a Profile2D histogram*-*-*-*-*-*-*-*
//*-* =======================================
TH2D::Reset(option);
fBinEntries.Reset();
}
//______________________________________________________________________________
void TProfile2D::Scale(Double_t c1)
{
//*-*-*-*-*Multiply this profile2D by a constant c1*-*-*-*-*-*-*-*-*
//*-* ========================================
//
// this = c1*this
//
// This function uses the services of TProfile2D::Add
//
Double_t ent = fEntries;
Add(this,this,c1,0);
fEntries = ent;
}
//______________________________________________________________________________
void TProfile2D::SetBinEntries(Int_t bin, Stat_t w)
{
//*-*-*-*-*-*-*-*-*Set the number of entries in bin*-*-*-*-*-*-*-*-*-*-*-*
//*-* ================================
if (bin < 0 || bin >= fNcells) return;
fBinEntries.fArray[bin] = w;
}
//______________________________________________________________________________
void TProfile2D::SetBins(Int_t nx, Double_t xmin, Double_t xmax, Int_t ny, Double_t ymin, Double_t ymax)
{
//*-*-*-*-*-*-*-*-*Redefine x axis parameters*-*-*-*-*-*-*-*-*-*-*-*
//*-* ===========================
fXaxis.Set(nx,xmin,xmax);
fYaxis.Set(ny,ymin,ymax);
fNcells = (nx+2)*(ny+2);
fBinEntries.Set(fNcells);
fSumw2.Set(fNcells);
}
//______________________________________________________________________________
void TProfile2D::SetBuffer(Int_t buffersize, Option_t *)
{
// set the buffer size in units of 8 bytes (double)
if (fBuffer) {
BufferEmpty();
delete [] fBuffer;
fBuffer = 0;
}
if (buffersize <= 0) {
fBufferSize = 0;
return;
}
if (buffersize < 100) buffersize = 100;
fBufferSize = 1 + 4*buffersize;
fBuffer = new Double_t[fBufferSize];
memset(fBuffer,0,8*fBufferSize);
}
//______________________________________________________________________________
void TProfile2D::SetErrorOption(Option_t *option)
{
//*-*-*-*-*-*-*-*-*-*Set option to compute profile2D errors*-*-*-*-*-*-*-*
//*-* =======================================
//
// The computation of errors is based on the parameter option:
// option:
// ' ' (Default) Errors are Spread/SQRT(N) for Spread.ne.0. ,
// " " SQRT(Z)/SQRT(N) for Spread.eq.0,N.gt.0 ,
// " " 0. for N.eq.0
// 's' Errors are Spread for Spread.ne.0. ,
// " " SQRT(Z) for Spread.eq.0,N.gt.0 ,
// " " 0. for N.eq.0
// 'i' Errors are Spread/SQRT(N) for Spread.ne.0. ,
// " " 1./SQRT(12.*N) for Spread.eq.0,N.gt.0 ,
// " " 0. for N.eq.0
// See TProfile2D::BuildOptions for explanation of all options
TString opt = option;
opt.ToLower();
fErrorMode = kERRORMEAN;
if (opt.Contains("s")) fErrorMode = kERRORSPREAD;
if (opt.Contains("i")) fErrorMode = kERRORSPREADI;
if (opt.Contains("g")) fErrorMode = kERRORSPREADG;
}
//______________________________________________________________________________
void TProfile2D::Streamer(TBuffer &R__b)
{
// Stream an object of class TProfile2D.
if (R__b.IsReading()) {
UInt_t R__s, R__c;
Version_t R__v = R__b.ReadVersion(&R__s, &R__c);
if (R__v > 2) {
TProfile2D::Class()->ReadBuffer(R__b, this, R__v, R__s, R__c);
return;
}
//====process old versions before automatic schema evolution
TH2D::Streamer(R__b);
fBinEntries.Streamer(R__b);
R__b >> (Int_t&)fErrorMode;
if (R__v < 2) {
Float_t zmin,zmax;
R__b >> zmin; fZmin = zmin;
R__b >> zmax; fZmax = zmax;
} else {
R__b >> fZmin;
R__b >> fZmax;
}
R__b.CheckByteCount(R__s, R__c, TProfile2D::IsA());
//====end of old versions
} else {
TProfile2D::Class()->WriteBuffer(R__b,this);
}
}
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